I Jensen and R Dickman 1993 J. Phys. A: Math. Gen. 26 L151 doi:10.1088/0305-4470/26/4/005
I Jensen and R Dickman
Show affiliationsThe authors recently presented a perturbation theory for the asymptotic survival probability of an interacting particle system which can become trapped in an absorbing state. They extend the method to a simple diffusive model. Analysis of the resulting series shows that diffusion is an irrelevant perturbation, i.e. it does not change the critical behaviour. Quantitative predictions of the phase boundary are confirmed by results of Monte Carlo simulations.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
82C22 Interacting particle systems (See also 60K35)
82C27 Dynamic critical phenomena
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 4 (21 February 1993)
I Jensen and R Dickman 1993 J. Phys. A: Math. Gen. 26 L151
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